×

Interval-valued fuzzy controller based on verbal model of object. (English) Zbl 0662.93003

This paper presents further development of the idea to construct control algorithms on the basis of verbal models of the controlled objects. This is achieved using the so-called interval-valued fuzzy method of approximate inference.
The above approach has some advantages: it is possible to perform prediction and to generate control actions according to the defined performance index, which is not always possible in the case of the approach based on the formalisation of the process operator strategy.
An outline of the main idea is illustrated by means of a simple example. Next, the author provides remarks concerning the generalization to the case of complex objects.
This method enables a more adequate fuzzy mapping of the available information about the object, and it is constructed in a way which allows its effective processing in a computer.
Reviewer: R.Vachnadze

MSC:

93A99 General systems theory
65G30 Interval and finite arithmetic
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Dziech, A.; Gorzałczany, M. B., Effectiveness evaluation of the interval-valued fuzzy decisional rule in some decision-making problems of signal transmission, Zeszyty Kieleckiego Towarzystwa Naukowego ‘Studia Kieleckie’, 4, 40, 97-103 (1983)
[2] Dziech, A.; Gorzałczany, M. B., Application of interval-valued fuzzy sets in signal transmission problems, (Proc. Polish Symp. on Interval and Fuzzy Mathematics. Proc. Polish Symp. on Interval and Fuzzy Mathematics, Poznań, Poland (1983)), 77-82
[3] Gorzałczany, M. B.; Stachowicz, M. S., On certain ideas of designing fuzzy controllers, Zeszyty Naukowe AGH, Elektryfikacja i Mechanizacja Górnictwa i Hutnictwa z., 131, no. 797, 167-188 (1980), (in Polish)
[4] Gorzałczany, M. B.; Kiszka, J. B.; Stachowicz, M. S., Some problems of studying adequacy of fuzzy models, (Yager, R., Fuzzy Set and Possibility Theory, Recent Developments (1982), Pergamon Press: Pergamon Press Oxford), 14-31
[5] Gorzałczany, M. B., Interval-valued fuzzy formalization method of verbal decisional rules taking into consideration the hierarchy of their importance, Zeszyty Kieleckiego Towarzystwa Naukowego ‘Studia Kieleckie’, 4, 40, 85-95 (1983)
[6] Gorzałczany, M. B., Approximate inference with interval-valued fuzzy sets — an outline, (Proc. Polish Symp. on Interval and Fuzzy Mathematics. Proc. Polish Symp. on Interval and Fuzzy Mathematics, Poznań, Poland (1983)), 89-95
[7] Gorzałczany, M. B., Interval-valued fuzzy method of approximate inference and its application to the problems of signal transmission and construction of control algorithms, (Ph.D. thesis (1983), Technical University of Poznań: Technical University of Poznań Poland), (in Polish)
[8] Gorzałczany, M. B., A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Sets and Systems, 21, 1-17 (1987) · Zbl 0635.68103
[9] Gorzałczany, M. B., Interval-valued fuzzy decision rule in signal transmission problems, Arch. Autom. Telemech., 30, 2, 159-168 (1985)
[10] Kania, A. A.; Kiszka, J. B.; Gorzałczany, M. B.; Maj, J. R.; Stachowicz, M. S., On stability of formal fuzziness systems, Inform. Sci., 22, 51-68 (1980) · Zbl 0464.93005
[11] Tong, R. M., Synthesis of fuzzy models for industrial processes — some recent results, Internat. J. General Systems, 4, 143-162 (1978) · Zbl 0372.93025
[12] Willaeys, D.; Malvache, N., Some fuzzy tools for system modelization and control, (Proc. IFAC Conf. (1982)) · Zbl 0468.94021
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.